Answer:
13
Step-by-step explanation:
Expressing the complex numbers in coordinate form
- 2 - 3i → (- 2, - 3)
3 + 9i → (3, 9)
To calculate the distance d use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (3, 9)
d = [tex]\sqrt{(3+2)^2+(9+3)^2}[/tex]
= [tex]\sqrt{5^2+12^2}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13
